mmend98
  • mmend98
The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp. Jackie wants to manipulate the formula to an equivalent form that calculates three times a year, not just once a year. Which function is correct for Jackie's purpose, and what is the new growth rate? (5 points) f(x) = 4(4)x; growth rate 400% f(x) = 4(4)3x, growth rate 4% f(x) = 4(1.59)3x; growth rate 59% f(x) = 4(1.59)x; growth rate 4%
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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thomas5267
  • thomas5267
What is f(x) equal to? What is 4(4)x?
mmend98
  • mmend98
I think it would be B.
mmend98
  • mmend98
they are exponential as well the answers sorry for the typo

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More answers

ganeshie8
  • ganeshie8
rearrange the exponent as \(\frac{3x}{3}\) and simplify : \[\large{\begin{align}f(x)=4(4)^x &= 4(4)^{\frac{3x}{3}}\\~\\ &= 4(4^{\frac{1}{3}})^{3x}\\~\\ &= ? \end{align}}\]
mmend98
  • mmend98
ok
ganeshie8
  • ganeshie8
use ur calculator to work \(\large 4^{\frac{1}{3}}\)
mmend98
  • mmend98
16.3
ganeshie8
  • ganeshie8
nope, try again
ganeshie8
  • ganeshie8
wolf says \(\approx 1.59\) http://www.wolframalpha.com/input/?i=4%5E%281%2F3%29
mmend98
  • mmend98
ah
mmend98
  • mmend98
So the answer would be D?
mmend98
  • mmend98
or C.
mmend98
  • mmend98
c would be the answer
ganeshie8
  • ganeshie8
right, one of them how do we pin down which one it is
mmend98
  • mmend98
it is c?
ganeshie8
  • ganeshie8
how do you know
mmend98
  • mmend98
because it is the same but manipulatd as the original equation
ganeshie8
  • ganeshie8
rearrange the exponent as \(\frac{3x}{3}\) and simplify : \[\large{\begin{align}f(x)=4(4)^x &= 4(4)^{\frac{3x}{3}}\\~\\ &= 4(4^{\frac{1}{3}})^{3x}\\~\\ &= 4(1.\color{red}{59})^{3x}\\~\\ \end{align}}\] that red part gives you the growth rate
mmend98
  • mmend98
oh ok.
ganeshie8
  • ganeshie8
the fly population grows at a rate of \(59\%\) per quarter
mmend98
  • mmend98
we know c is the anser because 59 percent is the growht rate
mmend98
  • mmend98
?
ganeshie8
  • ganeshie8
yes ?
mmend98
  • mmend98
yes
IrishBoy123
  • IrishBoy123
.

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